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spayn [35]
2 years ago
5

Please help i dont understand​

Mathematics
1 answer:
Greeley [361]2 years ago
3 0

Given:

A quadrilateral inscribed in a circle.

To find:

The value of x and y.

Solution:

If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.

5x^\circ+110^\circ=180^\circ                     [Supplementary angles]

5x^\circ=180^\circ -110^\circ

x^\circ=\dfrac{70^\circ}{5}

x^\circ=14^\circ

The value of x is 14 degrees.

2y^\circ+104^\circ=180^\circ                     [Supplementary angles]

2y^\circ=180^\circ -104^\circ

y^\circ=\dfrac{76^\circ}{2}

y^\circ=38^\circ

Therefore, the value of x is 14 degrees and the value of y is 38 degrees.

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